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Finding the Fourth Proportional to 34,971, 52,464.81 and 11,597.43

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Solution

The fourth proportional to 34,971, 52,464.81 and 11,597.43 is: 17,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971 : 52,464.81 = 11,597.43 : x
  2. Step 2: Convert to fraction form
    34,971/52,464.81 = 11,597.43/x
  3. Step 3: Cross multiply
    34,971x = 52,464.81 × 11,597.43
  4. Step 4: Simplify right side
    34,971x = 608,456,961.44
  5. Step 5: Solve for x
    x = 608,456,961.44/34,971
  6. Step 6: Final answer
    x = 17,398.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.